He was never given Hashirama's DNA, only some of his chakra, how is Sasuke going to get DNA from an Edo Tensei when there is no living tissue? The Rinnegan is a better bet since Kabuto did have Karin's DNA so Sasuke would at least have some Uzumaki DNA which is from the Senju lineage. Just being given the know-how of SM doesn't mean you can learn and master it sicne Sasuke doesn't know how to see/sense/gather natural energy, doesn't know how to balance it with his chakra perfectly (will be turn to stone if he fails if that's same for snakes way), nor does he know how to be completely still (took training for Naruto, Jiraiya and Kabuto). Doesn't matter if Karin's DNA makes him suitable to be a jin, he wouldn't be able to work with the Bijuus since he doesn't like them and they don't trust him which mean Sasuke might be taken over by the Bijuu's will or Sasuke will have to use genjutsu to control it.
Wrong, He doesn't know how to absorb it, balance it with his own chakra, be completely still while gathering the natural energy (took training for Naruto, Jiraiya, Kabuto). He uses Senjutsu as he would normal chakra but he doesn't know how to make it and if he had perfect handle of Senjutsu then why did he never shown to have sensory abilities like Naruto, Kabuto, or Madara? He was simply using it for more power/chakra without knowing what it was and Kabuto himself called the CM nothing more than a pretention trick
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Also Kabuto said Orochimaru couldn't find a body that could bare Juugo's clan ability, he couldn't replicate the ability to absorb natural energy like Juugo's clan could. Some people mistake this for SM in general but SM takes large chakra and the determination to complete the training and has nothing to do with the body because nothing special was said about Jiraiya's body, only his enormous chakra reserves. Orochimaru is also the one who would put other ppl's power into himself and Kabuto was only copying him as Itachi even stated. So for Sasuke to have Juugo's DNA means nothing since nothing special about Sasuke's body either and Orochimaru already did test Sasuke with Juugo's chakra and only said Sasuke was about to use the seal's power which Kabuto called a pretention trick.
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No he doesn't, just because he used the CM, which is lower than incomplete SM in terms of power, doesn't mean he has a good handle with senjutsu. CM is made by Orochimaru giving the person some of his senju chakra, incomplete SM is when the person absorbs a lot of natural energy but fails to perfectly balance it but they since have a lot of senjutsu made and Jiraiya was using large attacks in his mode. Sasuke doesn't have Hashirama's DNA, Hashirama is dead, not living tissues, I don't know how ppl over look that fact plus manga said he only gave Sasuke some of his chakra. Kabuto does have Karin's DNA so at most he would have Uzumaki DNA which is in senju lineage.
Sasuke had Juugo's DNA since back before Kage summit yet he never displayed any senjutsu usage or mastery or knowledge at that. If he had Juugo's ability (which Orochimaru couldn't even replicated it when he experimented) then Sasuke would had displayed it since it constantly taking in natural energy. CM are made from Juugo
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yet is down played compared to SM by Kabuto who have more info on both than Sasuke. Sasuke had Juugo's DNA since his cheat was blown off by Killer bee yet never shown to possess Juugo's ability so why would he now? He had the CM which was made from Juugo's enzymes which are proteins that are produced by cells then got Juugo's flesh. He was even given Senjutu from Juugo to make the Zetsu grow, it had to be given to Sasuke and Sasuke didn't show to have any after that either.
SM is something you have to train for, Kabuto stated this himself, he had Orochimaru and Juugo's DNA yet he still had to train to get SM.
Actually SM doesn't require a strong body, it requires a large chakra reserve because while you're learning to draw in and balance natural energy, if you have too little then you would be overwhelmed too fast and in the toad's case, turn into a stone toad. And before that you have to train to be completely still which is hard to do and will take time
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. Even Kabuto used his snake to be still for him while he fought. Naruto, who have more chakra than Sasuke began to turn into a toad the moment a small drop of oil hit his hand and you think Sasuke who has powerful chakra and not high reserves wouldn't be overwhelmed?
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Sasuke doesn't have Senju DNA, he has Uzumaki DNA at most from the Karin DNA in Kabuto, idk where you get the idea he can get DNA from a dead Hashirama who doesn't have living tissues. Hashirama said the rods where in their pressure points so they most likely can't mold chakra so was giving him the chakra he had left, nowhere does it say DNA
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. Kabuto has Orochimaru and Juugo's DNA yet he stated the only way was to train to get SM so you are wrong there. Also Sasuke already had Juugo's DNA yet still didn't have senjutsu not did he have any knowledge of SM or natural energy until Kabuto told him about it
By your logic, Yamato, Danzo, Madara and Obito should all be using SM on their own for having Hashirama's DNA cause Hashirama had SM. Madara had to steal it...